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veronikarub
@veronikarub
July 2022
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1.Решите уравнение х2+у2+8х-2у+17=0
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Verified answer
X²+y²+8x-2y+17=0
(x²+8x)+(y²-2y)+17=0
(x²+2*x*4+4²)+(y²-2*y*1+1²)+17-4²-1²=0
(x+4)²+(y-1)²+17-16-1=0
(x+4)²+(y-1)²=0
(x+4)²=0 и (y-1)²=0
x+4=0 y-1=0
x=-4 y=1
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Answers & Comments
Verified answer
X²+y²+8x-2y+17=0(x²+8x)+(y²-2y)+17=0
(x²+2*x*4+4²)+(y²-2*y*1+1²)+17-4²-1²=0
(x+4)²+(y-1)²+17-16-1=0
(x+4)²+(y-1)²=0
(x+4)²=0 и (y-1)²=0
x+4=0 y-1=0
x=-4 y=1